Later, Liberty Media president and CEO Greg Maffei said new Starz boss Chris Albrecht is working on strengthening the network's brand with original programming.

Albrecht also had a meeting Tuesday with Time Warner Cable as the premium network would like to improve its relationship with the cable giant, which traditionally hasn't been as strong a performer in premium as others, Maffei added. He said he is hoping for upside if the two sides can include smart incentives to market together into a new carriage partnership.

Asked about a new carriage deal with biggest U.S. cable operator Comcast, Maffei said a deal is still in the works.

Meanwhile, TW's Martin highlighted that after various asset disposals, his firm is now "a TV company" given that the Turner networks and HBO drive most growth.